Answer:
CD = two square root of 10 end square root
Step-by-step explanation:
To find the length of a segment, use the distance formula. Substitute the order pairs for the endpoints of the segment. CD has the end points (-7, -4) and (-1, -2).

Answer:
domain is [-3,3] & range is [-3,3]
Step-by-step explanation:
When given a graph of a circle and ask to solve range and domain....
First: <u>find the four points</u> of the circle:
(-3,0);(3,0);(0,-3);(0,3) . <em> **Best to plot these points on this graph to understand where the points are and what we are looking at.</em>
Second: Look for <u>range(vertical directions/left and right) and domain(horizontal direction/up and down)</u>.
domain: x-values, first coordinate (-3,0) & (3,0)
range: y-values, second coordinate (0,-3);(0,3)
Third: take what you know and solve domain and range*include bracket to show domain and range
domain is [-3,3] & range is [-3,3]
Picture relating to the question can be found in the picture attached below.
Answer:
Angle DCA = Angle CAB
Angle A + Angle B + Angle C = 180°
18 + 3x + 3x = 180
27°
Step-by-step explanation:
For 1:
Angle DCA = Angle CAB (Alternate angles are equal)
Angle DCA = 18°, Hence, CAB = 18°
2)
Angle A + Angle B + Angle C = 180° (sum of interior angles in a triangle)
3.)
Angle A = 18°
Angle B = 3x
Angle C = 3x
18° + 3x + 3x = 180°
4.)
18 + 3x + 3x = 180
18 + 6x = 180
6x = 180 - 18
6x = 162
x = 162 / 6
x = 27°
<h3><u>The equivalent expression is:</u></h3>

<em><u>Solution:</u></em>
<em><u>Given expression is:</u></em>

We have to find the equivalent expression
We can simplify the above expression using law of exponents
<em><u>Use the following law of exponents:</u></em>

Therefore,

<em><u>Use another law of exponent</u></em>

Therefore,

Thus the equivalent expression is found
Answer:
10
Take 10 and add it 5 times
Step-by-step explanation:
5 divided by 50 is 10